Construction Ex 11.1 and 11.2

Find the product : 10.007 xx 11.1 xx 2

Determine the mode for the following observations : 10,11,10,12,11,10,11,11,11,12,13,11,12.

The vertices of a triangle are (5,1), (11,1) and (11,9). Find the co-ordinates of the circumcentre of the triangle.

Construct line segments of the following lengths with the help of a compass: 11.4 cm, 6.4 cm, 5.9 cm

The tangents to the curve x^(2) + y^(2) = 2 at points (1,1) and (-1,1) are

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

Four geometric mens are inserted between the number 2^(11) - 1 and 2^(11) + 1 . The product of these geometric means is

The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fractional part in [-1,1] is [-1,1]-(1/(2,1)) [-1,-1/2]uu[(0,1)/2]uu{1} [-(1,1)/2] (d) [-1/2,1]

The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fractional part in [-1,1] is (a) [-1,1]-(1/(2),1) (b) [-1,-1/2]uu[(0,1)/2]uu{1} (c) [-1,1/2] (d) [-1/2,1]

The number of solutions of equation |(1,1,1), (1,1+sin theta,1), (1,1, 1+cot theta)|=0 in theta in [0, 2 pi] is equal to